oj.uz

Submission #999656

# Submission time Handle Problem Language Result Execution time Memory
999656 2024-06-16T02:57:09 Z Alfraganus Horses (IOI15_horses) C++17
54 / 100
 1500 ms 55520 KB 
#include "horses.h"
#include <bits/stdc++.h>
using namespace std;

const long long mod = 1e9 + 7;
vector<long long> x, y;

struct SegTree {

	int size = 1;
	vector<long long> pr;
	vector<int> mx;

	void init(){
		while(size < (int)x.size())
			size <<= 1;
		pr.resize(size << 1, 1);
		mx.resize(size << 1, 0);
		build(0, 0, size);
	}

	void build(int ind, int lx, int rx){
		if(lx + 1 == rx){
			if(lx < x.size())
				pr[ind] = x[lx], mx[ind] = y[lx];
			return;
		}
		int mid = (lx + rx) >> 1;
		build((ind << 1) + 1, lx, mid);
		build((ind << 1) + 2, mid, rx);
		pr[ind] = (pr[(ind << 1) + 1] * pr[(ind << 1) + 2]) % mod;
		mx[ind] = max(mx[(ind << 1) + 1], mx[(ind << 1) + 2]);
	}

	void change(int pos, int val, int x, int lx, int rx){
		if(lx + 1 == rx){
			pr[x] = val;
			return;
		}
		int mid = (lx + rx) >> 1;
		if(pos < mid)
			change(pos, val, (x << 1) + 1, lx, mid);
		else
			change(pos, val, (x << 1) + 2, mid, rx);
		pr[x] = (pr[(x << 1) + 1] * pr[(x << 1) + 2]) % mod;
	}

	void change(int pos, int val){
		change(pos, val, 0, 0, size);
	}

	void set(int pos, int val, int x, int lx, int rx){
		if(lx + 1 == rx){
			mx[x] = val;
			return;
		}
		int mid = (lx + rx) >> 1;
		if(pos < mid)
			set(pos, val, (x << 1) + 1, lx, mid);
		else
			set(pos, val, (x << 1) + 1, mid, rx);
		mx[x] = max(mx[(x << 1) + 1], mx[(x << 1) + 2]);
	}

	void set(int pos, int val){
		set(pos, val, 0, 0, size);
	}

	long long get(int l, int r, int ind, int lx, int rx){
		if(l <= lx and rx <= r)
			return pr[ind];
		if(r <= lx or rx <= l)
			return 1ll;
		int mid = (lx + rx) >> 1;
		return (get(l, r, (ind << 1) + 1, lx, mid) * get(l, r, (ind << 1) + 2, mid, rx)) % mod;
	}

	long long get(int l, int r){
		return get(l, r, 0, 0, size);
	}

	int res(int l, int r, int x, int lx, int rx){
		if(l <= lx and rx <= r)
			return mx[x];
		if(r <= lx or rx <= l)
			return 0;
		int mid = (lx + rx) >> 1;
		return max(res(l, r, (x << 1) + 1, lx, mid), res(l, r, (x << 1) + 2, mid, rx));
	}

	int res(int l, int r){
		return res(l, r, 0, 0, size);
	}
};

SegTree s;
set<int> st;

int init(int n, int X[], int Y[]) {
	x.resize(n);
	y.resize(n);
	for(int i = 0; i < n; i ++)
		x[i] = X[i], y[i] = Y[i];
	st.insert(-1);
	for(int i = 0; i < n; i ++)
		if(x[i] != 1)
			st.insert(i);
	s.init();
	auto cur = --st.end(), prev = cur;
	long long y1 = s.res(max(0, *cur), n), p = 1, ans = (s.res(max(0, *cur), n) * s.get(0, *cur + 1)) % mod;
	while(1){
		if(prev == st.begin())
			return ans;
		prev --;
		p = p * x[*cur];
		if(p > (int)1e9 or y1 * p > (int)1e9)
			return ans;
		if(s.res(max(0, *prev), *cur + 1) > y1 * p){
			y1 = s.res(max(0, *prev), *cur + 1);
			p = 1;
			ans = (y1 * s.get(0, *prev + 1)) % mod;
		}
		cur --;
	}
	return ans;
}

int updateX(int pos, int val) {
	x[pos] = val;
	s.change(pos, val);
	int n = (int)x.size();
	long long y1 = 0, p = 1, ans = 1;
	for(int i = n - 1; i >= 0; i --){
		if(p > (int)1e9 or y1 * p > (int)1e9)
			return ans;
		if(y[i] > y1 * p){
			y1 = y[i];
			p = 1;
			ans = (y1 * s.get(0, i + 1)) % mod;
		}
		p = p * x[i];
	}
	return ans;
}

int updateY(int pos, int val) {
	y[pos] = val;
	int n = (int)x.size();
	long long y1 = 0, p = 1, ans = 1;
	for(int i = n - 1; i >= 0; i --){
		if(p > (int)1e9 or y1 * p > (int)1e9)
			return ans;
		if(y[i] > y1 * p){
			y1 = y[i];
			p = 1;
			ans = (y1 * s.get(0, i + 1)) % mod;
		}
		p = p * x[i];
	}
	return ans;
}

Compilation message

horses.cpp: In member function 'void SegTree::build(int, int, int)':
horses.cpp:24:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   24 |    if(lx < x.size())
      |       ~~~^~~~~~~~~~
horses.cpp:25:36: warning: conversion from '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} to '__gnu_cxx::__alloc_traits<std::allocator<int>, int>::value_type' {aka 'int'} may change value [-Wconversion]
   25 |     pr[ind] = x[lx], mx[ind] = y[lx];
      |                                    ^
horses.cpp: In member function 'void SegTree::change(int, int, int, int, int)':
horses.cpp:35:36: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   35 |  void change(int pos, int val, int x, int lx, int rx){
      |                                ~~~~^
horses.cpp:6:19: note: shadowed declaration is here
    6 | vector<long long> x, y;
      |                   ^
horses.cpp: In member function 'void SegTree::set(int, int, int, int, int)':
horses.cpp:52:33: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   52 |  void set(int pos, int val, int x, int lx, int rx){
      |                             ~~~~^
horses.cpp:6:19: note: shadowed declaration is here
    6 | vector<long long> x, y;
      |                   ^
horses.cpp: In member function 'int SegTree::res(int, int, int, int, int)':
horses.cpp:82:28: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   82 |  int res(int l, int r, int x, int lx, int rx){
      |                        ~~~~^
horses.cpp:6:19: note: shadowed declaration is here
    6 | vector<long long> x, y;
      |                   ^
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:113:11: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  113 |    return ans;
      |           ^~~
horses.cpp:117:11: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  117 |    return ans;
      |           ^~~
horses.cpp:125:9: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  125 |  return ans;
      |         ^~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:135:11: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  135 |    return ans;
      |           ^~~
horses.cpp:143:9: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  143 |  return ans;
      |         ^~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:152:11: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  152 |    return ans;
      |           ^~~
horses.cpp:160:9: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  160 |  return ans;
      |         ^~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 600 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 2 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 2 ms 504 KB Output is correct
32 Correct 1 ms 348 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 145 ms 48848 KB Output is correct
2 Correct 176 ms 55520 KB Output is correct
3 Correct 146 ms 50772 KB Output is correct
4 Correct 166 ms 53132 KB Output is correct

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 2 ms 348 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 2 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 58 ms 26808 KB Output is correct
34 Correct 27 ms 26704 KB Output is correct
35 Correct 143 ms 53636 KB Output is correct
36 Correct 144 ms 53588 KB Output is correct
37 Correct 333 ms 25684 KB Output is correct
38 Correct 68 ms 37972 KB Output is correct
39 Execution timed out 1556 ms 25776 KB Time limit exceeded
40 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 432 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 2 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 2 ms 348 KB Output is correct
32 Correct 2 ms 348 KB Output is correct
33 Correct 147 ms 50808 KB Output is correct
34 Correct 175 ms 55376 KB Output is correct
35 Correct 151 ms 51184 KB Output is correct
36 Correct 167 ms 53332 KB Output is correct
37 Correct 56 ms 26704 KB Output is correct
38 Correct 27 ms 26712 KB Output is correct
39 Correct 146 ms 53700 KB Output is correct
40 Correct 141 ms 53588 KB Output is correct
41 Correct 334 ms 25684 KB Output is correct
42 Correct 69 ms 38048 KB Output is correct
43 Execution timed out 1542 ms 25776 KB Time limit exceeded
44 Halted 0 ms 0 KB -